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Re: simplify Arg[E^(I x)]?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125771] Re: simplify Arg[E^(I x)]?
  • From: David Reiss <dbreiss at gmail.com>
  • Date: Sun, 1 Apr 2012 03:40:49 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <jl6g1j$cm1$1@smc.vnet.net>

For a given value of x, Arg[Exp[I x]] is not necessarily equal to x:

Plot[Arg[Exp[I x]], {x, 0, 4 Pi}]

So, to get the answer you want, you need to restrict x as in:

FullSimplify[Arg[E^(I x)], {x > -\[Pi], x <= \[Pi]}]

--David


On Mar 31, 4:42 am, Neal Becker <ndbeck... at gmail.com> wrote:
> Why doesn't this simplify?
>
> Fullsimplify[Arg[E^(I x)], x \[Element] Reals]
>
> I expect to get 'x'.
>
> Is there some way I can get this to simplify?




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